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Finding the Third Proportional to 18,384 and 37,664

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Solution

The third proportional to 18,384 and 37,664 is: 77,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384 : 37,664 = 37,664 : x
  2. Step 2: Convert to fraction form
    18,384/37,664 = 37,664/x
  3. Step 3: Cross multiply
    18,384x = 37,664 × 37,664
  4. Step 4: Simplify right side
    18,384x = 1,418,576,896
  5. Step 5: Solve for x
    x = 1,418,576,896/18,384
  6. Step 6: Final answer
    x = 77,163.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.